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#include <bits/stdc++.h>
using namespace std;
class InParser
{
private:
FILE *fin;
char *buff;
int sp;
char read_ch()
{
++sp;
if (sp == 4096)
{
sp = 0;
fread(buff, 1, 4096, fin);
}
return buff[sp];
}
public:
InParser(const char* nume)
{
fin = fopen(nume, "r");
buff = new char[4096]();
sp = 4095;
}
InParser& operator >> (int &n)
{
char c;
while (!isdigit(c = read_ch()) && c != '-');
int sgn = 1;
if (c == '-')
{
n = 0;
sgn = -1;
}
else
{
n = c - '0';
}
while (isdigit(c = read_ch()))
{
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
InParser& operator >> (long long &n)
{
char c;
n = 0;
while (!isdigit(c = read_ch()) && c != '-');
long long sgn = 1;
if (c == '-')
{
n = 0;
sgn = -1;
}
else
{
n = c - '0';
}
while (isdigit(c = read_ch()))
{
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
};
InParser in("sate.in");
ofstream out("sate.out");
const int nmax=3e4+5;
int N, M, X, Y, i, x, y, dist, neig, len, d[nmax];
vector <pair<int,int>> G[nmax];
bitset <nmax> viz;
queue <int> Q;
void BFS(int nod)
{
viz[nod]=1;
Q.push(nod);
while(!Q.empty())
{
nod=Q.front();
for(i=0; i<G[nod].size(); i++)
{
neig=G[nod][i].first;
len=G[nod][i].second;
if(!viz[neig])
{
d[neig]=d[nod]+len;
viz[neig]=1;
Q.push(neig);
}
}
Q.pop();
}
}
int main()
{
in >> N >> M >> X >> Y;
for(i=1; i<=M; i++)
{
in >> x >> y >> dist;
G[x].push_back({y,dist});
G[y].push_back({x,-dist});
}
BFS(X);
out << d[Y];
}